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Finding the Fourth Proportional to 398,529.91, 597,888.33 and 158,658.49

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Solution

The fourth proportional to 398,529.91, 597,888.33 and 158,658.49 is: 238,024.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,529.91 : 597,888.33 = 158,658.49 : x
  2. Step 2: Convert to fraction form
    398,529.91/597,888.33 = 158,658.49/x
  3. Step 3: Cross multiply
    398,529.91x = 597,888.33 × 158,658.49
  4. Step 4: Simplify right side
    398,529.91x = 94,860,059,626.42
  5. Step 5: Solve for x
    x = 94,860,059,626.42/398,529.91
  6. Step 6: Final answer
    x = 238,024.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.